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Alja [10]
3 years ago
7

5x^{2} -60 = 20 Solve by using the quadratic formula PLZ help

Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer: x=4,-4 Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula

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Michael bought a new sweater on sale for $30. The sweater originally cost $80.
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3 years ago
Write the matrix equation as a system of linear equations without matrices. [Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column
ASHA 777 [7]

Answer:

x-2y-4z=8\\5x-4y+7z=5\\-7x+5y+2z=-3

Step-by-step explanation:

Given the matrix equation below:

\left(\begin{array}{ccc}1&-2&-4\\5&-4&7\\-7&5&2\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}8\\5\\-3\end{array}\right)

We are required to write the matrix equation as a system of linear equations without matrices.

\left(\begin{array}{ccc}1&-2&-4\\&&\\&&\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}8\\&\\&\end{array}\right)$is equivalent to: x-2y-4z=8

\left(\begin{array}{ccc}\\5&-4&7\\&&\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}&\\5\\&\end{array}\right)$ is equivalent to: 5x-4y+7z=5

\left(\begin{array}{ccc}&\\&\\-7&5&2\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}&\\&\\-3\end{array}\right)$ is equivalent to: -7x+5y+2z=-3

Therefore, we have the system of equations:

x-2y-4z=8\\5x-4y+7z=5\\-7x+5y+2z=-3

8 0
3 years ago
What is the current yield on a 3 year bond with 10% annual coupons, a par value of 100, and a current price of 107.87?
hichkok12 [17]

The current yield of the bond is 9.27%.

What is current yield?

Current yield is the bond rate of return computed as the annual coupon divided by the current price of the bond

The annual coupon is the coupon rate of 10% multiplied by the bond's par value of 100

annual coupon=10%*100

annual coupon=10

current bond price=107.87

current yield=annual coupon/current bond price

current yield=10/107.87

current yield=9.27%

Find more on current yield on:brainly.com/question/12909555

#SPJ1

5 0
2 years ago
You are buying shirts for an organization. You have $120 to spend. The number of short-sleeved shirts y you buy after buying x l
Makovka662 [10]

The given equation is ⇒ y = -1.2 x + 24

<u>Part A : Graph the equation.</u>

To graph the equation, substitute with values of x then find y

The attached figure represents the table to graph the equation and the graph of the equation.

=============================================

<u>Part B : x-intercept</u>

To find x-intercept substitute with y = 0 and solve for x

∴ 0 = -1.2 x + 24

∴ 1.2 x = 24

∴ x = 24/1.2 = 20

x-intercept is at point (20,0)

==================================================

<u>Part C : y-intercept</u>

To find y-intercept substitute with x = 0 and solve for y

∴ y = -1.2 * 0 + 24

∴ y = 24

∴ y-intercept is at point (0,24)

5 0
4 years ago
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